Conserved Currents for the Gauge-Field Theory with Lorentz Symmetry Group
Autor: | Öttinger, Hans Christian |
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Rok vydání: | 2022 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | For the Yang-Mills-type gauge-field theory with Lorentz symmetry group, we propose and verify an explicit expression for the conserved currents in terms of the energy-momentum tensor. A crucial ingredient is the assumption that the gauge symmetry arises from the decomposition of a metric in terms of tetrad variables. The currents exist under the weak condition that the energy-momentum tensor and the Ricci tensor commute. We show how the conserved currents can be used to obtain a composite theory of gravity and discuss the static isotropic field around a point mass at rest. Comment: 5 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2110.02527 |
Databáze: | arXiv |
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